Least Common Multiple of 537/951, 1699/1632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 537/951, 1699/1632 quickly i.e. 304121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/951, 1699/1632 is 304121.

LCM(537/951, 1699/1632) = 304121

LCM of 537/951, 1699/1632

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 537/951,1699/1632

Given numbers are 537/951,1699/1632

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 537,1699

Least Common Multiple of Numerators i.e. LCM of 537,1699 is 912363.

GCF of Denominators means GCF of 951,1632 as per the given fractions.

GCF of 951,1632 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,1699

LCM of Fractions 537/951,1699/1632 is 304121

Given numbers has no common factors except 1. So, there LCM is their product i.e 912363

Least Common Multiple of 537,1699 with GCF Formula

Least Common Multiple of 537,1699 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 537,1699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,1699) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(537,1699) x common factors =1 x 1 = 1

LCM(537,1699) = ( 537 × 1699 ) / 1

LCM(537,1699) = 912363 / 1

LCM(537,1699) = 912363


Lets's calculate GCF of 951,1632

3 951, 1632
317, 544

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912363/3

Therefore the LCM of Fractions 537/951,1699/1632 is 304121

Greatest Common Factor of 951,1632 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,1632 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632

Greatest Common Factor

We found the factors 951,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 951,1632 is 3.


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Frequently Asked Questions on Fractional LCM of 537/951, 1699/1632

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 537/951, 1699/1632?

Answer: LCM of Numerators as per given numbers 537/951, 1699/1632 is

LCM of Numerators i.e. for 537,1699 is 912363

GCF of denominators i.e. for 951,1632 is 3.

Thus, LCM of Fractions is 304121.Finally, LCM of Fractions for 537/951, 1699/1632 is 304121.